1034414004121 has 2 divisors, whose sum is σ = 1034414004122. Its totient is φ = 1034414004120.

The previous prime is 1034414004119. The next prime is 1034414004157. The reversal of 1034414004121 is 1214004144301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 934965228096 + 99448776025 = 966936^2 + 315355^2 .

It is a cyclic number.

It is not a de Polignac number, because 1034414004121 - 2¹ = 1034414004119 is a prime.

Together with 1034414004119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1034414704121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517207002060 + 517207002061.

It is an arithmetic number, because the mean of its divisors is an integer number (517207002061).

Almost surely, 2^{1034414004121} is an apocalyptic number.

It is an amenable number.

1034414004121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034414004121 is an equidigital number, since it uses as much as digits as its factorization.

1034414004121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1034414004121 its reverse (1214004144301), we get a palindrome (2248418148422).

The spelling of 1034414004121 in words is "one trillion, thirty-four billion, four hundred fourteen million, four thousand, one hundred twenty-one".